3120002000214 has 64 divisors (see below), whose sum is σ = 6925962281472. Its totient is φ = 929002867200.

The previous prime is 3120002000197. The next prime is 3120002000221. The reversal of 3120002000214 is 4120002000213.

It is a junction number, because it is equal to n+sod(n) for n = 3120002000193 and 3120002000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3536799 + ... + 4330005.

It is an arithmetic number, because the mean of its divisors is an integer number (108218160648).

Almost surely, 2^{3120002000214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120002000214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462981140736).

3120002000214 is an abundant number, since it is smaller than the sum of its proper divisors (3805960281258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3120002000214 is a wasteful number, since it uses less digits than its factorization.

3120002000214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794261.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3120002000214 its reverse (4120002000213), we get a palindrome (7240004000427).

Subtracting 3120002000214 from its reverse (4120002000213), we obtain a palindrome (999999999999).

The spelling of 3120002000214 in words is "three trillion, one hundred twenty billion, two million, two hundred fourteen", and thus it is an aban number.